Results 11 to 20 of about 2,932,216 (187)
Multiple positive solutions to elliptic boundary blow-up problems [PDF]
, 2016 We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion +44 more
core +2 more sources
A Priori Bounds And Existence Of Positive Solutions For Semilinear Elliptic Systems [PDF]
, 2017 We provide a-priori L∞ bounds for classical positive solutions of semilinear elliptic systems in bounded convex domains when the nonlinearities are below the power functions v^p and u^q for any (p,q) lying on the critical Sobolev hyperbola.
Mavinga, Nsoki, Pardo, R.
core +2 more sources
Positive solutions for nonvariational Robin problems
, 2018 We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of ...
Papageorgiou, Nikolaos S. +2 more
core +2 more sources
Axioms, 2023 In this paper, we investigate the existence of positive solutions to a system of fractional differential equations that include the (r1,r2,r3)-Laplacian operator, three-point boundary conditions, and various fractional derivatives.
Abdullah Ali H. Ahmadini +2 more
doaj +1 more source
On Positive Solutions for Some Nonlinear Semipositone Elliptic Boundary Value
Nonlinear Analysis, 2006 This study concerns the existence of positive solutions to classes of boundary value problems of the form −∆u = g(x,u), x ∈ Ω, u(x) = 0, x ∈ ∂Ω, where ∆ denote the Laplacian operator, Ω is a smooth bounded domain in RN (N ≥ 2) with ∂Ω of class C2, and ...
G. A. Afrouzi, S. H. Rasouli
doaj +1 more source
Global bifurcation of positive solutions for a class of superlinear elliptic systems
Electronic Journal of Qualitative Theory of Differential Equations, 2023 We are concerned with the global bifurcation of positive solutions for semilinear elliptic systems of the form \begin{equation*} \begin{cases} -\Delta u=\lambda f(u,v) &\text{in}~\Omega,\\ -\Delta v=\lambda g(u,v) &\text{in}~\Omega,\\
Ruyun Ma, Yan Zhu, Yali Zhang
doaj +1 more source
Positive solutions for asymptotically linear problems in exterior domains
, 2016 The existence of a positive solution for a class of asymptotically lin- ear problems in exterior domains is established via a linking argument on the Nehari manifold and by means of a barycenter ...
Maia, Liliane A., Pellacci, Benedetta
core +1 more source
Moving in the Dark: Enlightening the Spatial Population Ecology of European Cave Salamanders
Population Ecology, EarlyView.We assessed individual interactions, movement ecology and activity patterns of a subterranean population of Speleomantes strinatii, applying spatial capture–recapture modeling to a photographic dataset of 104 individuals. ABSTRACT Space use and movement are fundamental aspects of organisms' ecology, mirroring individual fitness, behavior, and life ...
Giacomo Rosa +2 more
wiley +1 more source
Existence of Positive Solutions for fourth-order Differential Equations with indeterminate weights [PDF]
, 2018 In this paper, the existence of positive solutions of fourth-order differential equations with indeterminate weights is considered as ...
Wang, J. (Jiao)
core
Constructing polynomial systems with many positive solutions using tropical geometry
, 2017 The number of positive solutions of a system of two polynomials in two variables defined in the field of real numbers with a total of five distinct monomials cannot exceed 15. All previously known examples have at most 5 positive solutions.
Hilany, Boulos El
core +2 more sources